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Nakamaye's theorem on complex manifolds

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Valentino Tosatti (Northwestern) - Seminar Algebraic Geometry (SAG)

  • Seminar
When Feb 02, 2016
from 04:30 pm to 05:30 pm
Where Bonn, Hörsaal MPI, Vivatsgasse 7
Contact Name Sachinidis
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A well-known result of Nakamaye states that the augmented base
locus of a nef and big line bundle on a smooth projective variety over the
complex numbers equals its null locus. I will discuss an extension of this
theorem to all nef and big real (1,1) classes on compact complex
manifolds, which also gives an analytic proof of Nakamaye's original
result. I will also mention some consequences of this theorem, and some
recent further developments. This is joint work with Tristan Collins.